HELP!! What is the exact value of Tangent (pi/12)
A. StartFraction 1 Over 2 + StartRoot 3 EndRoot EndFraction
B. StartFraction 1 Over StartRoot 3 EndRoot EndFraction
C. StartFraction 3 Over StartRoot 3 EndRoot EndFraction
D. StartFraction 1 Over 2 minus StartRoot 3 EndRoot EndFraction
Answers
Answer:
2 - sqrt(3)
Step-by-step explanation:
Split pi/12 into two angles where the values of the six trigonometric functions are known.
tan (pi/4 - pi/6)
Apply the difference of angles identity
[tex]\frac{tan(pi/4) - tan(pi/6)}{1 + tan(pi/4)tan(pi/6)}[/tex]
tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3
Plug in and Simplify
[tex]\frac{1-\frac{\sqrt{3} }{3} }{1+1\frac{\sqrt{3} }{3} }[/tex]
[tex]\frac{\frac{3-\sqrt{3} }{3} }{\frac{3+\sqrt{3} }{3} }[/tex]
[tex]\frac{3-\sqrt{3} }{3} *\frac{3}{3+\sqrt{3} }[/tex]
[tex]\frac{3-\sqrt{3} }{3+\sqrt{3}}[/tex] Need to multiply this by [tex]\frac{3+\sqrt{3} }{3+\sqrt{3} }[/tex]
Expand and simplify numerator: [tex]\frac{6}{(3+\sqrt{3} )^{2} }[/tex]
Expand and simplify denominator: [tex]\frac{6}{12+6\sqrt{3}}[/tex]
Cancel the common factor: [tex]\frac{1}{2+\sqrt{3}}[/tex]
Answer:
D: 1/2 - √3.
Step-by-step explanation:
The Unit Circle is a circle with radius 1 that is used to determine the value of sine and cosine of any angle.
But that table do not directly give the exact value so to solve for its exact value, express π/12 as a sum or difference of two angles where the values of the six trigonometric functions are known.
tan π/12 = tangent (π/4 - π/6)
Using the the difference of angles identity we get,
tan (π/4 - π/6) = (1 - √3 / 3) / (1 + 1 x √3 / 3)
Multiply by 3,
tan (π/4 - π/6) = (3 - √3) / (3 + √3)
Multiply by 3 - √3
tangent (π/4 - π/6) = (3 - √3)(3 - √3) / (3 - √3)(3 + √3)
FOIL and simplify.
tangent (π/4 - π/6) = 9 - 6√3 + 3 / 9 -3
tangent (π/4 - π/6) = 1/2 - √3
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What is the standard form of the equation y = −x − 2?
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Answer:
8\5 is the answer 8 is the rise and 5 is the run
Answer:
[tex]-\frac{8}{5}[/tex]
Step-by-step explanation:
The coordinates of the top black point are (-1, 4). The coordinates of the bottom black point are (4, -4).
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Answers
Answer:
n=-20
Step-by-step explanation:
The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?
Answers
Answer:
A = 2167.73 cm²
Step-by-step explanation:
Given that,
A trailer ramp is in the shape of a triangular prism.
the height of the ramp, h = 14 inches
The volume of the ramp, V = 4704 inches²
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The volume of the triangular prism is given by :
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or
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help will mark brainlist!
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Answer:
a is 108
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Answer:
Step-by-step explanation:
1) 6x + 2y = -4
2y = -6x - 4
[tex]y = \frac{-6x}{2} - \frac{4}{2}[/tex]
Ans: y = -3x - 2
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3) y - y1 = m(x - x1)
4) y = mx + b
Write the next three terms of the geometric sequence.
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I think you posted this question more than once..
Kris drove 92 miles from La Verne to Encinitas and used only 4 gallons of gas. What is the unit rate (miles per gallon)
Answers
wait
am writing answer Step-by-step explanation:
Answer:
23 miles per gallon
Step-by-step explanation:
92/4=23
Simplify 4x + 8 + 2x − 7.
Answers
Answer:
6x+1
Step-by-step explanation:
1. Add the x
4x+2x=6x
2. Add the numbers
8-7=1
3. Add everything
6x+1
Hope this helps!
Answer:
negative 2x-15
Step-by-step explanation:
hope this helps
The question is in the photo
Answers
Answer:
no solutions
Step-by-step explanation:
3(x+5)-3 = 2(3x + 1) - 3x
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add 3x to both sides of the equation
3x + 3x + 15 - 3 = 6x + 3 - 3x + 3x
combine like terms
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add 3 to both sides of the equation
6x + 15 - 3 + 3 = 6x + 3 + 3
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subtract 6 from both sides of the equation
6x + 15 - 6 = 6x + 6 - 6
6x + 15 - 6 = 6x
6x + 9 = 6x
subtract 6x from both sides of the equation
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since 9 does not equal 0, the answer is no solutions
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When solving an algebraic expression, our goal is to get the variable _______________ on one side of the equal sign.
Answers
Answer:
Isolated
Step-by-step explanation:
When solving one-variable algebraic expressions isolating the variable on one side gives you its value on the other side.
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9
Answers
Answer:
The value of the missing digit is 6.
Step-by-step explanation:
When a number is divisible by 9, the sum of the digits must be 9 or a multiple of 9.
Given digits = 6785∆4
the sum of the digits = 30 + ∆
30 + ∆ = 36
∆ = 36 - 30
∆ = 6
Thus, the value of the missing digit is 6.
Which represents a function?
A {(-2, 1). (0, 2), (1,3), (1.4)}
B {(-1,5),(-1,6). (1,5), (1.6)}
C
{(3, 1). (3. 4). (3.5), (3,9)}
D{(4.8). (5. 1). (7.3).(8.6)}
Need Help ASAP
Answers
Answer:
C
Step-by-step explanation:
Please mark me brainlist
PLEASE HELP ME AND STOP USING ME FOR POINTS THIS IS FOR MY GRADE .
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Answer:
11
Step-by-step explanation:
11 since all sides are the same exact length
Answer: C
Step-by-step explanation:
8 is the smallest number so most likely it´s right. I would choose C.
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Answers
Answer:
19657
Step-by-step explanation:
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Answer:
195657 is the answer according to my calculation.
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Answers
Answer:
I really am just answering this for meh points, so I can ask a quesiton. Could you use this as helpfull xD. Taking a straight up guess. I think mikhail is 98
Step-by-step explanation:
Answer:
Mikhail is 35 years
Step-by-step explanation:
let mikhails age be k.
mikhail=k
Gabrielle=k + 14
k + k + 14=84
2k+14-14=84-14
2k=70
2k/2=70/2
k=35years
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
9514 1404 393
Answer:
the cubic does not exceed the quadratic until x > 8
Step-by-step explanation:
The attached graph plots the two expressions. The two are equal at x=8. Below that value the expression 7x^2 is greater. Above that value, the expression 7x^3 -x^2 is greater.
_____
Comment on the question
The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.
For small values of x, the quadratic is quite a bit larger. However, we know the cubic will grow larger than any quadratic for large values of x. So, the comparison you get will depend on the domain of interest—which is not specified.
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Answers
Answer:
If you want to solve for x, then it is x=3+y
If you want to solve for y, then it is y=x-3
Step-by-step explanation:
You want to isolate the variable you are solving for. If you are solving for x, you don't have to isolate it because it is already on its own side. You only have to divide by 3 to take away the 3 from the x but make sure do whatever you do on one side to the other side to make sure its still equal. After you divide 3 on both sides, you end with x=3+y.
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Answers
Answer:
55
Step-by-step explanation:
You can do:
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The sum of the angles (81) minus the angle that is represented (21)
Answer:
55
Step-by-step explanation:
Since the sum of the two angles is 81, i did
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Answers
Answer:
Rate for 100 miles = $ 6 / miles
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Step-by-step explanation:
Given that cost for covering 100 miles by flight is $600.
As rate is the cost of covering unit distance (in miles).
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Answers
The answer is "Yes", the estimate done by Coley is reasonable, it will take 5 days to paint 5 rooms.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
A painter painted about a sixth of a room in a sixth of a day. It means that 1/6 room is painted in 1/6 of the day so, a whole room is painted in 1 day itself.
So, the time to paint 5 rooms will take 5 days.
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Fill in the blanks in the proof please need ASAP
Answers
Answer:
3. FI ⊥ GH, right angle of 90°
5. same segment
6. SAS
Step-by-step explanation:
How would you write 5,697,000 in scientific notation?
Answers
Answer:
5.697 × 10^6
Step-by-step explanation:
None.
Answer:
Convert a number to and from scientific notation, e notation, engineering notation and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation and engineering notation formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Step-by-step explanation:
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Answers
Answer:
Its A and B i beleive.
Step-by-step explanation:
Top right is c
Bottom right is a
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Answers
Answer:
10 - 6 equals 4
50 - 6 = 44
It helps you use 4 again.
That is how it helps you.
Step-by-step explanation:
Tom runs a car dealership that currently
has 21 pickup trucks and 35 SUVs. He
wants to divide the lot into areas that
have either pickup trucks or SUVs, and
he wants the same number of vehicles
in each area. What is the largest number
of vehicles Tom can put in one area?
Answers
The answer is 7, because the factors of 21 are 1,3,7,21 and for 35 is 1,5,7,35 and the greatest of those is 7.
The highest no. of vehicles Tom can put in one area is 7 SUVs and 7 pickup trucks.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, Tom runs a car dealership that currently has 21 pickup trucks and 35 SUVs.
∴ If he wants to divide the lot into areas that have either pickup trucks or SUVs, and he wants the same number of vehicles in each area the largest number of vehicles Tom can put in one area is is GCF of 7 and 35 which 7.
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